If there are 3 types of goods(x,y,z) and 2 consumers (a,b) how can I draw the Edgeworth box? It must be 3 dimensional, right?
Is there a software or online tool that I can use to draw a 3D Edgeworth box?
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I assume what you're asking based on your comments is: "How can I visualize indifference curves for 3 goods?" I can think of three options:
1) Use a tool like Matlab, or its open-source equivalent, Octave, to plot 3 dimensional indifference curves. Here is a tutorial on how to do that.
2) Make a series of 2-dimensional indifference curves for two of the goods, and fix a different level of the third good for each one, that is, plot a series of cross-sections of the 3 dimensional box.
3) Using paper and pencil, draw a general $n$ dimensional Edgeworth box, then, set $n = 3$.
I have had luck making 3-D plots with R and Plotly: http://aachristiansen.com/visualizing-general-equilibrium-models/
Although as others mention, it would be very difficult to visualize 3 goods on a 3-D contour plot (essentially 4 dimensions, 3 goods and utility)
Yea. If you have n number of goods and you would like to visualize it, you should use n-dimension of graph. Therefore, in your case, it is three dimensional. In terms of visualizing it, you can:
Manually draw it on paper although this will not help the visualization a lot.
If you are looking for software, I think that any software that can help you visualize a graph using certain set function can help you. For me, I personally will go for Matematica, but there are other programs like Matlab, which are also fine. Just look for programs that can get certain mathematics function and project it into a 3D graph.